Question

If x= √2+1, then find the value of (x +1/x)²​

Answer 1

Answer:

x=1+

2

now

(x−(

x

1

))

3

=(1+

2

−(

1+

2

1

))

3

=[1+

2

−(

2

+1

1

)×(

2

−1

2

−1

)]

3

=[1+

2

−(

2

−1)]

3

=(1+

2

−

2

+1)

3

=2

3

=8

Answer 2

If x= √2+1

the value of (x +1/x)²={(√2+1 +1/√2+1) }

={(√2+1) ^2 + (1/√2+1) ^2}

={(2+1) + (1/2+1)}

={3+1/3}

={9+1}/3

=10/3